Question

Given f(x) = the quantity of 2x minus 2 divided by 4 , solve for f-1(3)

Answer 1

I assume the question is: given \[ f(x) = \frac{2x-2}{4}, \]find \[ f^{-1}(3)? \]If so, note that the inverse of f(x) can be found by setting x = (2y-2)/4 -> 2y - 2 = 4x -> y - 1 = 2x -> y = 2x + 1. Hence, \[ f^{-1}(x) = 2x + 1, \]so the answer is 7.